We determine the homotopy type of the order complex of the subgroup lattice of the symmetric group Sn when n is a prime or a power of two.
Let G be an alternating or symmetric group of finite non-prime degree, and. H a primitive subgroup of G of depth 2. Then H is contained in at most two maximal.
Missing: Topology | Show results with:Topology
If G is a group, then we denote the lattice of all subgroups of G by the notation L (G). A non-empty subset H of the group G is a subgroup of G iff a, b ∈ H⇒ ...
Missing: Topology | Show results with:Topology
We determine the homotopy type of the order complex of the subgroup lattice of the symmetric group S-n when n is a prime or a power of two.
Let G be a finite alternating or symmetric group. We describe an infinite class of finite lattices, none of which is isomorphic to any interval [ H , G ] in ...
Sep 1, 2015 · We prove that the subgroup lattices of finite alternating and symmetric groups do not contain so-called lower signalizer lattices in the class D ...
Missing: Topology | Show results with:Topology
In this paper, we determine all of subgroups of symmetric group S4 by applying Lagrange theorem and Sylow theorem. First, we observe.
Duration: 14:03
Posted: Sep 4, 2021
Posted: Sep 4, 2021
Abstract. If G is a group and H is a subgroup of G, we write fla(H) for the lattice of over- groups of H in G. It is an open question whether or not every ...
Missing: Topology | Show results with:Topology
Jun 3, 2015 · The lattices that you call 'symmetric' are usually called 'self-dual'. All finite abelian groups have self-dual subgroup lattices.
Missing: Topology alternating